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Depth-dependent hydraulic conductivity tensor for jointed granite
International Journal of Rock Mechanics and Mining Sciences ( IF 7.2 ) Pub Date : 2023-05-25 , DOI: 10.1016/j.ijrmms.2023.105405
Masanobu Oda , Takat Takemura , Kenichiro Suzuki

Stress-dependent hydraulic conductivity tensor is formulated in a closed form on the basis of Oda's permeability tensor and Bianchi & Snow's proposal for change of the crack aperture. Using a simple cracked model, a general equation is derived to obtain the hydraulic conductivity tensor as a function of depth and the coefficient of earth pressure at rest. The general trend of the equation is consistent with the in-situ hydraulic conductivity values measured at various sites. Conductivity itself does not have any practical meaning unless the state of stress is concurrently specified. Anisotropy in the hydraulic conductivity tensor is mainly related to the state of stress given by the earth pressure coefficient rather than the crack geometry, particularly in the cases where three orthogonal sets of joints are observed. Anisotropy is magnified in two dimensions because of excessive confinement of the flow direction. Additional procedures should be performed when the results obtained from two-dimensional analyses are generalized for three-dimensional real sites. The hydraulic conductivity K0 at the earth surface and γH for controlling the aperture of cracks are proposed as index measures for characterizing a given site from a comprehensive point of view.



中文翻译:

节理花岗岩的深度相关导水率张量

基于 Oda 的渗透率张量和 Bianchi & Snow 提出的裂缝孔径变化的建议,应力相关导水率张量被表述为一个封闭形式。使用简单的裂纹模型,推导了一个通用方程,以获得作为深度和静止土压力系数函数的导水率张量。方程的总体趋势与在不同地点测得的原位水力传导率值一致。除非同时指定应力状态,否则电导率本身没有任何实际意义。导水率张量的各向异性主要与土压力系数给出的应力状态有关,而不是与裂缝几何形状有关,特别是在观察到三个正交节理组的情况下。由于流动方向的过度限制,各向异性在二维中被放大。当从二维分析获得的结果推广到三维真实站点时,应执行其他程序。导水率0在地球表面和γH提出了控制裂缝孔径的指标作为从综合角度表征给定场地的指标措施。

更新日期:2023-05-25
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